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40665677656604 = 227111374991354349
BaseRepresentation
bin10010011111100001101110…
…10001010111001000011100
312022222121012222212201012212
421033300313101113020130
520312231301440002404
6222253315430415552
711364666254546120
oct1117606721271034
9168877188781185
1040665677656604
1111a59242981110
1246893452015b8
13198c9ac029170
14a0832d2b3580
154a7c1a9a106e
hex24fc3745721c

40665677656604 has 96 divisors (see below), whose sum is σ = 95562936000000. Its totient is φ = 14623057877760.

The previous prime is 40665677656573. The next prime is 40665677656699.

40665677656604 is nontrivially palindromic in base 10.

40665677656604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29348822 + ... + 30703170.

It is an arithmetic number, because the mean of its divisors is an integer number (995447250000).

Almost surely, 240665677656604 is an apocalyptic number.

40665677656604 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40665677656604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47781468000000).

40665677656604 is an abundant number, since it is smaller than the sum of its proper divisors (54897258343396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40665677656604 is a wasteful number, since it uses less digits than its factorization.

40665677656604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361883 (or 1361881 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 68.

The spelling of 40665677656604 in words is "forty trillion, six hundred sixty-five billion, six hundred seventy-seven million, six hundred fifty-six thousand, six hundred four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 7499 14998 29996 52493 82489 97487 104986 164978 194974 209972 329956 389948 577423 682409 1072357 1154846 1354349 1364818 2144714 2309692 2708698 2729636 4289428 5417396 7506499 9480443 14897839 15012998 17606537 18960886 29795678 30025996 35213074 37921772 59591356 70426148 104284873 123245759 193671907 208569746 246491518 387343814 417139492 492983036 774687628 1355703349 2711406698 5422813396 10156263151 20312526302 40625052604 71093842057 111718894661 132031420963 142187684114 223437789322 264062841926 284375368228 446875578644 528125683852 782032262627 924219946741 1452345630593 1564064525254 1848439893482 2904691261186 3128129050508 3696879786964 5809382522372 10166419414151 20332838828302 40665677656604